Is there a hotkey to set bevel weight?
You can add a shortcut in Edit Mode using the bar at the bottom of the 3D view.

The button in the menu for Edge Bevel Weight is under Mesh ‣ Edges ‣ Edge Bevel Weight.


Right-click the button and then select Add shortcut from the popup menu that appears. You can also do this with any other item in the menu or the toolbar on the left.


Also notice that the shortcut for the Edges menu is Ctrl E, so if you wanted you could type Ctrl E in the 3D view and select Edge Bevel Weight. You can also add a shortcut from this menu by right clicking and selecting 'Add Shortcut', as above.